What-is-the-sum-of-digits-of-3333-4444-Say-sum-of-all-digits-of-3333-4444-is-A-If-A-gt-10-then-sum-all-digits-of-A-This-process-is-repeated-until-a-single-digits-sum-x-in-obtained-x-

FacebookTweetPin

Question Number 2432 by prakash jain last updated on 19/Nov/15

$$\mathrm{What}\mathrm{is}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{digits}\mathrm{of}{3333}^{4444},$$$$\mathrm{Say}\mathrm{sum}\mathrm{of}\mathrm{all}\mathrm{digits}\mathrm{of}{3333}^{4444}\mathrm{is}\mathrm{A},$$$$\mathrm{If}\mathrm{A}>10\mathrm{then}\mathrm{sum}\mathrm{all}\mathrm{digits}\mathrm{of}\mathrm{A}.$$$$\mathrm{This}\mathrm{process}\mathrm{is}\mathrm{repeated}\mathrm{until}\mathrm{a}\mathrm{single}$$$$\mathrm{digits}\mathrm{sum}x\mathrm{in}\mathrm{obtained}.$$$$x=?$$

Answered by prakash jain last updated on 20/Nov/15

$$3333\equiv 3\left(\mathrm{mod}9\right)$$$${3333}^2\equiv 9\left(\mathrm{mod}9\right)$$$${3333}^{4444}\equiv 9\left(\mathrm{mod}9\right)$$$$x=9$$

Terms of Service
Privacy Policy
Contact: info@tinkutara.com

FacebookTweetPin